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Finding the Fourth Proportional to 7,509.30, 10,363.14 and 4,152.48

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Solution

The fourth proportional to 7,509.30, 10,363.14 and 4,152.48 is: 5,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.30 : 10,363.14 = 4,152.48 : x
  2. Step 2: Convert to fraction form
    7,509.30/10,363.14 = 4,152.48/x
  3. Step 3: Cross multiply
    7,509.30x = 10,363.14 × 4,152.48
  4. Step 4: Simplify right side
    7,509.30x = 43,032,731.59
  5. Step 5: Solve for x
    x = 43,032,731.59/7,509.30
  6. Step 6: Final answer
    x = 5,730.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.